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For n>=1, derive each identities below:
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- Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsShow discontinuous at x=2A life insurance company sells annuities to men aged exactly 60. Each policyholder pays a single net premium, P, and then receives anannuity of $30 000 a year in arrear (so that the first annuity payment is on the 61st birthday). Assume that mortality follows the Standard Select Life Table,and that the interest rate is 5% per year. Now suppose that the office sells 1 000 such annuities simultaneously toindependent lives. Calculate the value of P such that the probability thatthe present value of the profit to the insurance company is positive is 95%.
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